Details

analyze665.0ms (5.7%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5132	96
0	3	3
1	3	3

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
12.5%	87.4%	0.1%	5
18.7%	81.1%	0.1%	6
21.8%	71.8%	6.4%	7
31.2%	62.4%	6.4%	8
35.9%	55.4%	8.7%	9
37.8%	48.8%	13.4%	10
42.7%	42.3%	15%	11
47.7%	34.2%	18.1%	12
49.1%	30.4%	20.5%	13
51.9%	25.8%	22.3%	14

Compiler

Compiled 18 to 15 computations (16.7% saved)

sample42.0ms (0.4%)

Algorithm

1×

intervals

Results

9.0ms	38×	body	2048	valid
8.0ms	164×	body	128	valid
4.0ms	23×	body	1024	valid
4.0ms	13×	body	4096	valid
2.0ms	11×	body	512	valid
1.0ms	22×	body	128	nan
1.0ms	18×	body	128	invalid
1.0ms	7×	body	256	valid

Compiler

Compiled 35 to 32 computations (8.6% saved)

simplify315.0ms (2.7%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (309.0ms)

Iter	Nodes	Cost
0	1834	24
1	1834	24

prune4.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	0	1	1
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Error

35.5b

Counts

2 → 1

Compiler

Compiled 32 to 26 computations (18.8% saved)

localize10.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.1b	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c)))) b) (.f64 a 2))
0.8b	(-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))
1.1b	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))) b)
24.4b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))

rewrite150.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Error

35.2b

Rules

21×	`add-sqr-sqrt_binary64_1123`
14×	`*-un-lft-identity_binary64_1101`
9×	`add-exp-log_binary64_1139` `add-cbrt-cube_binary64_1137`
8×	`add-log-exp_binary64_1140` `add-cube-cbrt_binary64_1136`
6×	`sqrt-prod_binary64_1117` `difference-of-squares_binary64_1070` `times-frac_binary64_1107` `associate-/l*_binary64_1046`
5×	`pow1_binary64_1162`
4×	`flip3--_binary64_1105` `flip--_binary64_1076` `cancel-sign-sub-inv_binary64_1067`
3×	`distribute-lft-out--_binary64_1053`
2×	`sqrt-div_binary64_1118` `diff-log_binary64_1193` `sub-neg_binary64_1094` `div-exp_binary64_1152` `cbrt-undiv_binary64_1135` `associate-/l/_binary64_1048`
1×	`pow1/2_binary64_1181` `sqrt-pow1_binary64_1119` `rem-sqrt-square_binary64_1114` `prod-exp_binary64_1150` `cbrt-unprod_binary64_1134` `frac-2neg_binary64_1112` `div-sub_binary64_1106` `clear-num_binary64_1100` `div-inv_binary64_1098` `associate-/r*_binary64_1045`

Counts

4 → 74

Calls

4 calls:

12.0ms	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c)))) b) (.f64 a 2))
8.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))) b)
7.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))
4.0ms	(-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))

Compiler

Compiled 2100 to 1088 computations (48.2% saved)

series741.0ms (6.3%)

Error

5.9b

Counts

4 → 72

Calls

4 calls:

207.0ms	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c)))) b) (.f64 a 2))
159.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))) b)
153.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))
149.0ms	(-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))

Compiler

Compiled 3270 to 2476 computations (24.3% saved)

simplify85.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

146 → 146

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	4943	2996
1	4943	2996

prune157.0ms (1.3%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	134	12	146
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	135	12	147

Error

5.9b

Counts

147 → 12

Compiler

Compiled 3138 to 1684 computations (46.3% saved)

localize12.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.2b	(/.f64 1 (/.f64 a (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))) b) 2)))
0.8b	(-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))
1.1b	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))) b)
24.4b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))

rewrite877.0ms (7.5%)

Algorithm

1×	rewrite-expression-head

Error

5.9b

Rules

693×	`times-frac_binary64_1107`
439×	`add-sqr-sqrt_binary64_1123`
364×	`*-un-lft-identity_binary64_1101`
290×	`add-cube-cbrt_binary64_1136`
74×	`difference-of-squares_binary64_1070`
71×	`associate-/r*_binary64_1045`
40×	`sqrt-prod_binary64_1117`
37×	`distribute-lft-out--_binary64_1053`
25×	`add-exp-log_binary64_1139`
17×	`div-inv_binary64_1098`
15×	`div-exp_binary64_1152`
13×	`add-cbrt-cube_binary64_1137`
8×	`add-log-exp_binary64_1140`
6×	`pow1_binary64_1162` `cbrt-undiv_binary64_1135`
5×	`associate-/r/_binary64_1047`
4×	`cancel-sign-sub-inv_binary64_1067`
3×	`flip3--_binary64_1105` `flip--_binary64_1076` `1-exp_binary64_1145` `rec-exp_binary64_1151` `associate-/l*_binary64_1046`
2×	`sqrt-div_binary64_1118` `diff-log_binary64_1193` `sub-neg_binary64_1094`
1×	`pow1/2_binary64_1181` `sqrt-pow1_binary64_1119` `rem-sqrt-square_binary64_1114` `inv-pow_binary64_1186` `pow-flip_binary64_1175` `frac-2neg_binary64_1112` `clear-num_binary64_1100`

Counts

4 → 356

Calls

4 calls:

24.0ms	(/.f64 1 (/.f64 a (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))) b) 2)))
8.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))) b)
5.0ms	(-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))
4.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))

Compiler

Compiled 14021 to 8305 computations (40.8% saved)

series764.0ms (6.5%)

Error

5.9b

Counts

4 → 72

Calls

4 calls:

221.0ms	(/.f64 1 (/.f64 a (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))) b) 2)))
163.0ms	(-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))
159.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))) b)
157.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))

Compiler

Compiled 3540 to 2746 computations (22.4% saved)

simplify211.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

428 → 428

Iterations

Useful iterations: 0 (64.0ms)

Iter	Nodes	Cost
0	4964	17303
1	4964	17303

prune804.0ms (6.9%)

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	427	1	428
Fresh	0	11	11
Picked	0	1	1
Done	0	0	0
Total	427	13	440

Error

5.9b

Counts

440 → 13

Compiler

Compiled 13861 to 7716 computations (44.3% saved)

localize14.0ms (0.1%)

Local error

Found 4 expressions with local error:

1.1b	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))) b)
1.1b	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))) b)
24.4b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))
24.4b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))

rewrite330.0ms (2.8%)

Algorithm

1×	rewrite-expression-head

Error

5.9b

Rules

18×	`add-sqr-sqrt_binary64_1123`
12×	`*-un-lft-identity_binary64_1101`
8×	`add-log-exp_binary64_1140` `add-cube-cbrt_binary64_1136` `sqrt-prod_binary64_1117`
6×	`pow1_binary64_1162` `cancel-sign-sub-inv_binary64_1067`
4×	`add-exp-log_binary64_1139` `add-cbrt-cube_binary64_1137` `flip3--_binary64_1105` `sqrt-div_binary64_1118` `flip--_binary64_1076` `difference-of-squares_binary64_1070`
2×	`pow1/2_binary64_1181` `sqrt-pow1_binary64_1119` `rem-sqrt-square_binary64_1114` `diff-log_binary64_1193` `sub-neg_binary64_1094` `distribute-lft-out--_binary64_1053`

Counts

4 → 64

Calls

4 calls:

204.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))) b)
8.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))) b)
5.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))
4.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))

Compiler

Compiled 2732 to 1417 computations (48.1% saved)

series745.0ms (6.4%)

Error

5.9b

Counts

4 → 74

Calls

4 calls:

163.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))) b)
162.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))
161.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))) b)
158.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))

Compiler

Compiled 6506 to 4397 computations (32.4% saved)

simplify91.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

138 → 138

Iterations

Useful iterations: 0 (62.0ms)

Iter	Nodes	Cost
0	4965	2744
1	4965	2744

prune212.0ms (1.8%)

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	137	1	138
Fresh	0	11	11
Picked	1	0	1
Done	0	1	1
Total	138	13	151

Error

5.9b

Counts

151 → 13

Compiler

Compiled 5079 to 2698 computations (46.9% saved)

localize14.0ms (0.1%)

Local error

Found 4 expressions with local error:

1.1b	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))) b)
1.1b	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))) b)
24.4b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))
24.4b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))

rewrite132.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Error

5.9b

Rules

18×	`add-sqr-sqrt_binary64_1123`
12×	`*-un-lft-identity_binary64_1101`
8×	`add-log-exp_binary64_1140` `add-cube-cbrt_binary64_1136` `sqrt-prod_binary64_1117`
6×	`pow1_binary64_1162` `cancel-sign-sub-inv_binary64_1067`
4×	`add-exp-log_binary64_1139` `add-cbrt-cube_binary64_1137` `flip3--_binary64_1105` `sqrt-div_binary64_1118` `flip--_binary64_1076` `difference-of-squares_binary64_1070`
2×	`pow1/2_binary64_1181` `sqrt-pow1_binary64_1119` `rem-sqrt-square_binary64_1114` `diff-log_binary64_1193` `sub-neg_binary64_1094` `distribute-lft-out--_binary64_1053`

Counts

4 → 64

Calls

4 calls:

9.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))) b)
8.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))) b)
5.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))
4.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))

Compiler

Compiled 2732 to 1417 computations (48.1% saved)

series741.0ms (6.3%)

Error

5.9b

Counts

4 → 74

Calls

4 calls:

166.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))
166.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))) b)
161.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))) b)
154.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))

Compiler

Compiled 6506 to 4405 computations (32.3% saved)

simplify86.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

138 → 138

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	4965	2744
1	4965	2744

prune191.0ms (1.6%)

Pruning

13 alts after pruning (11 fresh and 2 done)

	Pruned	Kept	Total
New	138	0	138
Fresh	0	11	11
Picked	0	1	1
Done	0	1	1
Total	138	13	151

Error

5.9b

Counts

151 → 13

Compiler

Compiled 4876 to 2553 computations (47.6% saved)

regimes1.2s (10.5%)

Accuracy

Total 4.5b remaining (45.1%)

Threshold costs 0b (0%)

Compiler

Compiled 8884 to 6734 computations (24.2% saved)

bsearch60.0ms (0.5%)

Steps

Iters	Range		Point
7	8.646895483593871e-43	2.8841321560675714e-41	9.354693495133569e-43
8	-1.3481696438732638e+147	-2.8744800158599896e+144	-4.4035815120185316e+145

Compiler

Compiled 1 to 3 computations (-200% saved)

simplify4.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	99	54
1	99	54

end0.0ms (0%)

sample3.0s (25.7%)

Algorithm

1×

intervals

Results

276.0ms	1173×	body	2048	valid
259.0ms	5176×	body	128	valid
136.0ms	715×	body	1024	valid
112.0ms	368×	body	4096	valid
62.0ms	366×	body	512	valid
33.0ms	661×	body	128	nan
19.0ms	202×	body	256	valid
18.0ms	373×	body	128	invalid

Compiler

Compiled 2307 to 1743 computations (24.4% saved)

Details

analyze665.0ms (5.7%)

sample42.0ms (0.4%)

simplify315.0ms (2.7%)

prune4.0ms (0%)

localize10.0ms (0.1%)

rewrite150.0ms (1.3%)

series741.0ms (6.3%)

simplify85.0ms (0.7%)

prune157.0ms (1.3%)

localize12.0ms (0.1%)

rewrite877.0ms (7.5%)

series764.0ms (6.5%)

simplify211.0ms (1.8%)

prune804.0ms (6.9%)

localize14.0ms (0.1%)

rewrite330.0ms (2.8%)

series745.0ms (6.4%)

simplify91.0ms (0.8%)

prune212.0ms (1.8%)

localize14.0ms (0.1%)

rewrite132.0ms (1.1%)

series741.0ms (6.3%)

simplify86.0ms (0.7%)

prune191.0ms (1.6%)

regimes1.2s (10.5%)

bsearch60.0ms (0.5%)

simplify4.0ms (0%)

end0.0ms (0%)

sample3.0s (25.7%)

Profiling